Highest Common Factor of 401, 960, 137 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 401, 960, 137 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 401, 960, 137 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 401, 960, 137 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 401, 960, 137 is 1.
HCF(401, 960, 137) = 1
HCF of 401, 960, 137 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 401, 960, 137 is 1.
Highest Common Factor of 401,960,137 is 1
Step 1: Since 960 > 401, we apply the division lemma to 960 and 401, to get
960 = 401 x 2 + 158
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 158 and 401, to get
401 = 158 x 2 + 85
Step 3: We consider the new divisor 158 and the new remainder 85, and apply the division lemma to get
158 = 85 x 1 + 73
We consider the new divisor 85 and the new remainder 73,and apply the division lemma to get
85 = 73 x 1 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 960 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(85,73) = HCF(158,85) = HCF(401,158) = HCF(960,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 137 > 1, we apply the division lemma to 137 and 1, to get
137 = 1 x 137 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 137 is 1
Notice that 1 = HCF(137,1) .
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Frequently Asked Questions on HCF of 401, 960, 137 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 401, 960, 137?
Answer: HCF of 401, 960, 137 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 401, 960, 137 using Euclid's Algorithm?
Answer: For arbitrary numbers 401, 960, 137 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.